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Simplifying 5.1(6x + 0.07) + -4.2 = -1.5x + 8.2 Reorder the terms: 5.1(0.07 + 6x) + -4.2 = -1.5x + 8.2 (0.07 * 5.1 + 6x * 5.1) + -4.2 = -1.5x + 8.2 (0.357 + 30.6x) + -4.2 = -1.5x + 8.2 Reorder the terms: 0.357 + -4.2 + 30.6x = -1.5x + 8.2 Combine like terms: 0.357 + -4.2 = -3.843 -3.843 + 30.6x = -1.5x + 8.2 Reorder the terms: -3.843 + 30.6x = 8.2 + -1.5x Solving -3.843 + 30.6x = 8.2 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. -3.843 + 30.6x + 1.5x = 8.2 + -1.5x + 1.5x Combine like terms: 30.6x + 1.5x = 32.1x -3.843 + 32.1x = 8.2 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -3.843 + 32.1x = 8.2 + 0.0 -3.843 + 32.1x = 8.2 Add '3.843' to each side of the equation. -3.843 + 3.843 + 32.1x = 8.2 + 3.843 Combine like terms: -3.843 + 3.843 = 0.000 0.000 + 32.1x = 8.2 + 3.843 32.1x = 8.2 + 3.843 Combine like terms: 8.2 + 3.843 = 12.043 32.1x = 12.043 Divide each side by '32.1'. x = 0.3751713396 Simplifying x = 0.3751713396
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